Officers

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[T]o deprive the meanest insect of life, without a good reason for so doing, is certainly criminal. By such an act, a man destroys, what neither he, nor all the united powers of the world can ever repair; and it may be attended with worse consequences than he can imagine. If superior beings had the same power over us, that we have over brutes, what misery might not one of them occasion to a whole nation, by destroying such an insect as a minister of state may appear to be in his eyes? If a child dismembers a bee, or an ant, he may, for any thing we know to the contrary, distress a whole common-wealth.

— James Granger, An Apology for the Brute Creation, or Abuse of Animals Censured, 1772

A Rare Eagle

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The United States minted nearly half a million copies of this 20-dollar gold coin in 1933, but when gold coins were disallowed as legal tender most of them were melted down. The mint saved two for the U.S. National Numismatic Collection, and 20 more were stolen. Of these, nine have now been destroyed, and 10 are held at Fort Knox. That means that a total of 13 specimens of the 1933 double eagle are known to exist, with only one in private hands. Shoe designer Stuart Weitzman, who had paid $7.6 million for that one in 2002, auctioned it last month to an anonymous collector for $18.9 million. That coin is unique: No other 1933 double eagle can be privately owned or legally sold.

Unquote

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“To try to be happy is to try to build a machine with no other specification than that it shall run noiselessly.” — J. Robert Oppenheimer, Letters and Recollections, 1980

Wandering Minds

Here’s a macabre fad from Victorian Britain: headless portraits, in which sitters held their severed heads in their hands, on platters, or by the hair, occasionally even displaying the weapons by which they’d freed them.

Photographer Samuel Kay Balbirnie ran advertisements in the Brighton Daily News offering “HEADLESS PHOTOGRAPHS – Ladies and Gentlemen Taken Showing Their Heads Floating in the Air or in Their Laps.”

Fieldwork

On Oct. 24 [1947] two University of Chicago students rattled into Reno., Nev. in a Model-A Ford to try the gambling. Their total resources: $100. Wasting no time, they went to the Palace Club, where they studiously made a chart of the recurrence of numbers on the roulette wheel. Then they went into action. Playing number 9, which their records indicated as the best possibility, they parlayed their $100 into $5,000 in 40 hours. At this point the manager became uneasy, switched the wheel. So the students moved on to Harold’s Club.

There they used the same system. Sure enough, their $5,000 rose to $14,500. But then, unaccountably, their system went sour. They dropped from $14,500 to $10,000 and kept going down. That was when the young theoreticians made the smartest move of all. They pocketed their winnings, packed up the Model-A and went home, ahead by $6,500.

Life, Dec. 8, 1947

(The students were Albert Hibbs and Roy Walford. Accounts vary as to their total takings; Hibbs claimed $12,000 on You Bet Your Life in 1959. They spent a year sailing around the Caribbean and then returned to their studies. Hibbs went on to become a JPL physicist and Walford a UCLA pathologist.)

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Repeater

British inventor William Cantelo had just developed an early machine gun when he disappeared from his Southampton home in the 1880s. A private investigator traced him to the United States but could learn nothing more of his whereabouts.

Shortly afterward, Cantelo’s sons came across a photograph of Hiram Maxim, an American inventor who’d moved to London and completed a similar-sounding machine gun of his own. The sons, struck at the similarity of the photographs, tried to accost Maxim at London’s Waterloo Station, but he departed on a train.

The similarity of the photographs may have been a coincidence — the two men were the same age, and both wore large Victorian beards. Maxim had complained in his autobiography of a “double” who had been impersonating him in the United States, but Maxim had a long history of successful patents, the first in 1866, long before Cantelo’s disappearance.

On the other hand, the disappearance has never been explained. Maxim eventually sold his gun to the British government. He died in 1916.

Words and Motion

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In a 1778 letter, English naturalist Gilbert White captured the characteristic movement of almost 50 birds:

Owls move in a buoyant manner, as if lighter than air … herons seem incumbered with too much sail for their light bodies … the green-finch … exhibits such languishing and faltering gestures as to appear like a wounded and dying bird … fernowls, or goat-suckers, glance in the dusk over the tops of trees like a meteor; starlings as it were swim along.

Biographer Richard Mabey writes, “What is striking is the way Gilbert often arranges his sentence structure to echo the physical style of a bird’s flight. So, ‘The white-throat uses odd jerks and gesticulations over the tops of hedges and bushes’; and ‘woodpeckers fly volatu undosu [in an undulating flight], opening and closing their wings at every stroke, and so are always rising or falling in curves.”

(From Mabey’s Gilbert White: A Biography of the Author of The Natural History of Selborne, 2007.)

Fixing a Point

A problem proposed by Richard Hoshino and Sarah McCurdy for Crux Mathematicorum, September 2008:

Five points lie on a line. Here are the 10 distances between pairs of points, listed from smallest to largest:

2, 4, 5, 7, 8, k, 13, 15, 17, 19

What’s k?

Click for Answer

Black and White

carney chess problem

By E. Carney Jr. White to mate in two moves.

Click for Answer